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Finding the Fourth Proportional to 29,362.60, 40,506.54 and 16,780

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Solution

The fourth proportional to 29,362.60, 40,506.54 and 16,780 is: 23,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,362.60 : 40,506.54 = 16,780 : x
  2. Step 2: Convert to fraction form
    29,362.60/40,506.54 = 16,780/x
  3. Step 3: Cross multiply
    29,362.60x = 40,506.54 × 16,780
  4. Step 4: Simplify right side
    29,362.60x = 679,699,741.20
  5. Step 5: Solve for x
    x = 679,699,741.20/29,362.60
  6. Step 6: Final answer
    x = 23,148.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.